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Definable functions in the ℵ0-categorical weakly circularly minimal structures

✍ Scribed by B. Sh. Kulpeshov


Book ID
106530432
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
255 KB
Volume
50
Category
Article
ISSN
0037-4466

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📜 SIMILAR VOLUMES


On ℵ0-categorical weakly circularly mini
✍ Beibut Sh. Kulpeshov 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 268 KB

## Abstract We continue exploring analogues of o‐minimality and weak o‐minimality for circularly ordered sets. The main result is a description of ℵ~0~‐categorical 1‐transitive non‐primitive weakly circularly minimal structures of convexity rank 1 up to binarity (Theorems 4.4 and 4.5). (© 2006 WILE

On ℵ0-categorical weakly o-minimal struc
✍ B. Herwig; H.D. Macpherson; G. Martin; A. Nurtazin; J.K. Truss 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 288 KB

ℵ 0-categorical o-minimal structures were completely described by Pillay and Steinhorn (Trans. Amer. Math. Soc. 295 (1986) , and are essentially built up from copies of the rationals as an ordered set by 'cutting and copying'. Here we investigate the possible structures which an ℵ 0-categorical weak

Binary types in ℵ0-categorical weakly o-
✍ Beibut Sh. Kulpeshov 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## MSC (2010) 03C64, 03C35 Orthogonality of all families of pairwise weakly orthogonal 1-types for ℵ0 -categorical weakly o-minimal theories of finite convexity rank has been proved in [6]. Here we prove orthogonality of all such families for binary 1-types in an arbitrary ℵ0 -categorical weakly o